That's not ideal. The workflow that you have mentioned for using the razor tool or trimming the clips is correct. I tested the issue at my end with Premiere Elements 2019 version. It seems to be working fine. As @whsprague asked, it is important to know the version of the application that you are using. Also, there are a few other things that I would like to know:
Does it happen with every project?
Have you tested a different set of audio and video files?
Additionally, you may try resetting the preferences. It will make the settings default.
To restore default preference settings, hold down Alt (Windows) or Option (Mac OS) while the application is starting. You can release the Alt key or Option key when the splash screen appears.